SOLUTION: A coffee shop sold 35 cups of coffee. Of these, 15 contained sugar and 12 contained milk. If 13 cups contained neither milk nor sugar, how many cups must have contained both sugar

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Question 799363: A coffee shop sold 35 cups of coffee. Of these, 15 contained sugar and 12 contained milk. If 13 cups contained neither milk nor sugar, how many cups must have contained both sugar and milk? = 5 how does this equation work step by step
Answer by solver91311(24713) About Me  (Show Source):
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If 13 had neither, then 22 had one, the other, or both. But if 15 had sugar and 12 had milk that is 27 which is 5 more than 22. Hence, the overlap of the 15 and 12 had to be 5, and that is the number that had both milk and sugar. Mine was one of the 7 that only had milk. Extra credit: How many ONLY had sugar?

John

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